Ocean sunfishes are well-known for rapidly gaining a lot of weight on a diet based on jellyfish. The relationship between the elapsed time, ttt, in days, since an ocean sunfish is born, and its mass, M_{\text{day}}(t)M day ​ (t)M, start subscript, start text, d, a, y, end text, end subscript, left parenthesis, t, right parenthesis, in milligrams, is modeled by the following function: Mday(t)=3.5⋅(1.05)t Complete the following sentence about the weekly rate of change in the mass of the sunfish. Round your answer to two decimal places. Every week, the mass of the sunfish increases by a factor of .

Answers

Answer 1

Answer:

1.4071

Step-by-step explanation:

The relationship between the elapsed time, t in days, since an ocean sunfish is born, and its mass is given by:

[tex]M_{day}(t)=3.5(1.05)^t[/tex]

This function represents an exponential growth increasing as the number of days increases since (3.5 > 1), it means that at day 0 , the mass of the sunfish is 3.5 milligrams and every day, its mass increases by a factor of 1.05.

Since the mass of the sunfish increases by [tex]1.05^t[/tex], therefore the mass of the sunfish increases every one week (that is 7 days) by a factor of [tex]1.05^{7} = 1.4071[/tex]


Related Questions

What is the sale price of this bed after the discount has been taken off the standard price?

Answers

Answer:

585 is the answer of your question.

Step-by-step explanation:

because formula is

Mp _ d% of mp

Find the area of the triangle. Give the answer to the nearest tenth. The drawing may not be to scale.

21.0 m^2
9.8 m^2
19.6 m^2
10.5 m^2

Answers

Answer:

10.5 m²

Step-by-step explanation:

Given:

∆ with 2 side lengths, 4.7m, 6.1m, and an included angle, 47°.

Required:

Area of the triangle

SOLUTION:

Area of such triangle that has 2 known sides and an included angle between them is given as ½*a*b*sin(θ).

Where,

a = 4.7 m

b = 6.1 m

θ = 47°

Area = ½*4.7*6.1*sin(47)

Area = 10.5 m² (to the nearest tenth)

The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

12

Step-by-step explanation:

Since it's a equilateral triangal all sides are equal.

First you double 6 since that is a right angle in the triangle the other side will have the same length. 6x2=12.

A group of architects wish to recreate a modern pyramid like the ones built in
ancient Egypt. This huge monument is designed to have 199 stone bricks in the 5th
layer and 1 stone brick in the 27th and top layer. How many stones will they need to
build the entire pyramid?

Answers

Answer:

1,128,330 stones

Step-by-step explanation:

If you multiply how many total layers there are in the pyramid (210) by how many stones there are in each layer (199) before and after the 27th and top layer, you get 41790 stones. Then multiply the top 27 layers by the 41790 stones in those layers then you will get the total amount of stones which comes to 1,128,330 stones needed to build the entire pyramid.

I need help answering this

Answers

Answer:

100 degrees

Step-by-step explanation:

What is the 6th term in the geometric sequence described by this explicit

formula?

an= 3.4(n-1)

Answers

Answer:

The 6th term is 3072.

Step-by-step explanation:

If x +5 = 2b, find 2x + 10 in terms of b.

Answers

Answer:

2x+10=4b

Step-by-step explanation:

If you look at the previous equation, you will notice that

x*2 = 2x and

5*2 = 10.

So now all you need to do is also multiply the right side of the equation with b by 2, just like you did to the left side, and you'll get

2x+10 = 4b.

I hope this helped! :D

Answer:

2x + 10 = 4b

Step-by-step explanation:

Given

x + 5 = 2b ( multiply through by 2 )

2x + 10 = 4b

the slope of a line parallel to the given line 8x-2y=5

Answers

Answer:

4x

Step-by-step explanation:

8x-2y=5

8x=2y+5

8x-5=2y

4x-5/2=y

The slope of the parallel line would be 4x because the slope doesn't change. Hope this helps.

What is the factored form of the expression 3x^2 + 6x – 24

Answers

Answer:

(3)(x + 4)(x-2)

Step-by-step explanation:

3x^2 + 6x – 24

3(x^2 + 2x - 8)

(3)(x + 4)(x-2)

Answer:

3(x - 2)(x + 4).

Step-by-step explanation:

3x^2 + 6x – 24

= 3(x^2 + 2x - 8)

= 3(x - 2)(x + 4).

What is the value of the expression below when z=10z=10 and w=4w=4? 2z-3w 2z−3w

Answers

Answer:

8

Step-by-step explanation:

more details

2(10)-3(4)

20-12

8

Find x. A. 332–√ B. 113–√ C. 33 D. 443–√

Answers

Answer:

C. 33.

Step-by-step explanation:

The sides of a 45-45-90 triangle are in the ratio 1:1:√2 so the side opposite to 45 degrees = 11√6 / √2.

Consider the larger triangle containing the 60 degree angle:

tan 60 = x / (11√6 / √2).

x = tan 60 * 11√6 / √2

x = 33.

The value of the variable x will be 33 units. Then the correct option is C.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The diagram is shown below.

Let h be the height of the triangle.

The value of h is given by the sine of angle 45°. Then the value of the height h will be

sin 45° = h / 11√6

h = 11√6 × 1/√2

h = 11√3 units

The value of h is given by the tangent of angle 60°. Then the value of the height h will be

tan 60° = x / h

x = 11√3 × √3

x = 11 × 3

x = 33 units

Thus, the value of the variable x will be 33 units.

Then the correct option is C.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ5

0.00000007834= blank ×10^2 in scientific notation ​

Answers

Answer:

7.834 × 10^-8

Step-by-step explanation:

= 7.834 × 10^-8

(scientific notation)

= 7.834e-8

(scientific e notation)

= 78.34 × 10^-9

(engineering notation)

(billionth; prefix nano- (n))

= 0.00000007834

(real number)

^ means the number after is exponent.

PLEASE HURRY
Select the correct answer.


Sam is an artist, and he wants to purchase frames to display his work at home. He wants to frame no fewer than 10 of his pieces, and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18.


Which system of inequalities can Sam use to determine the number of large frames, x, and medium frames, y, that he can purchase to meet his needs?


A.

18x + 24y ≤ 225

x + y ≥ 10

B.

24x + 18y ≥ 225

x + y ≤ 10

C.

18x + 24y ≥ 225

x + y ≤ 10

D.

24x + 18y ≤ 225

x + y ≥ 10

Answers

Answer:

D.

24x + 18y ≤ 225

x + y ≥ 10

Step-by-step explanation:

"He wants to frame no fewer than 10"

x + y ≥ 10

"and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18."

24x + 18y ≤ 225

Answer:

D.

24x + 18y ≤ 225

x + y ≥ 10

Answer: D.

24x + 18y ≤ 225

x + y ≥ 10

Step-by-step explanation: "He wants to frame no fewer than 10"

x + y ≥ 10

"and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18."

24x + 18y ≤ 225

Answer: D.

24x + 18y ≤ 225

x + y ≥ 10

Graph the image of H(-8,5) after a reflection over the x-axis.

Answer ?

Answers

Answer: plot a point at (-8, -5)

The y coordinate flips from positive to negative, or vice versa, when we reflect over the horizontal x axis. The x coordinate stays the same.

The rule can be written as [tex](x,y) \to (x,-y)[/tex]

Which number is a solution of the inequality 8 – 14b ≥ 27?
A. 140
B. –76
C. –8.75
D. –4.75

Answers

Answer:

8 - 14b ≥ 27                   ⇒ subtract 8 from both sides- 14b ≥ 27 -8            - 14b ≥ 19                       ⇒ divide both sides by 14- b ≥ 19/14                      ⇒ multiply both sides by -1 b ≤ - 19/14                      ⇒ multiplication by a negative changes the  

                                                   inequality sign to opposite one

b ≤ - 19/14  and the answer choices B, C and D are all correct as are less than -19/14

A. 140 is the only one incorrect

The speed of a car going 50 miles per hour is equivalent to a speed of 80 kilometers per hour. At this rate, what is the speed, in kilometers per hour, of a car that is going 30 miles per hour?

Answers

Answer:

48 km/h

Step-by-step explanation:

80/50*30=48 km/h

help pls will give brainly

Answers

Answer:

Graph B

Step-by-step explanation:

Look at the first part of the function: 2-x , -7 ≤ x ≤ 5

If you put -7 in place of x you'll have:

2 - (-7) = 2 + 7 = 9

In the graph A, the point x = -7 have a y = 8, so cannot be the graph A. and it have to be graph B

order the following expressions by their values from least to greatest

Answers

N-Q, N, Q-N

Explanation: N=-2/Q=1
Equations:
-2-1=-3(N-Q)
-2(N)
1- -2=3(Q-N)

If a person invests $250 at 9% annual interest, find the approximate value of the investment at the end of 15 years

Answers

Answer:

The end balance is $910.62 and the total interest $660.62. (That is without tax or inflation rate) I hope this helps.

Step-by-step explanation:

Answer:

without tax: interest total=$660.62

Step-by-step explanation:

I multiplied...

4.5 X 6 - 1243
0 26
21
O
6
o
-10

Answers

Answer:

-1243

Step-by-step explanation:

4.5×6-1243

27-1243

=-1216

The tables show how the dollar to euro conversion rate changed during one day.
Khalil changed $500 into euros (£).
How many more euros did Khalil receive if he changed his money at the highest rate compared to the lowest rate?

Answers

Answer:

£10.1

Step-by-step explanation:

Highest exchange rate=1.3401

Lowest exchange rate=1.3199

The money Khan would have received more if he exchanged currencies at the highest rate compared to the lowest rate=500*(1.3401-1.3199)=£10.1

whats the volume the triangular prism?​

Answers

Answer:

Step-by-step explanation:

B ----> Base Area

Base is triangle

base = b = 10 in

height = h = 6 in

Area of base B = [tex]\frac{1}{2}bh[/tex]

                         [tex]=\frac{1}{2}*10*6\\\\= 5* 6\\\\= 30 \ in^{2}[/tex]

B = 30 in²

H = 15 in

Volume of triangular prism = BH

                                            = 30 * 15

                                            = 450 in³

I don't think this is correct plz check me

Answers

Answer:

The answer is the first one

Step-by-step explanation:

The cost of an adult ticket is $15

The price of an adult ticket is 1/2 the price of a student ticket plus $8

x is the cost of a student ticket, so

1/2(x) + $8 = $15

The length of a rectangle is 5 cm more than the width and the perimeter is at least 61cm. What are the smallest possible dimensions for the rectangle? (Hint: Perimeter = 2L +2W)
Explanation pleaseeee

Answers

I think the length is 17.75cm and the width is 12.75 cm

I'm not entirely sure whether it's the smallest possible length but it works on the calculator

17.75*2+12.75*2=61

What is equivalent to 9 3/4?

The answer is supposedly is 3 square root 3, but how is that the answer? can someone tell me the steps?

9 3/4 is a mixed fraction.

Answers

3√3 is not equivalent to 9³/₄

3√3 is equivalent to   [tex]9^\frac34[/tex]

step-by-step:

[tex]9^\frac34=(3^2)^\frac34=3^{2\cdot\frac34}=3^{\frac32}=3^{1+\frac12}=3^1\cdot3^\frac12=3\cdot\sqrt3=3\sqrt3[/tex]

The simplest form of the number [tex]9^\frac{3}{4}[/tex]   is  [tex]3 \ \sqrt[]{3}[/tex].

It is given that the  [tex]9^\frac{3}{4}[/tex]

It is required to find the simplest value of [tex]9^\frac{3}{4}[/tex]

What is the square root of a number?

It is defined as the number if we multiply the number by itself we get the original number it is a non-negative number.

We have:

= [tex]9^\frac{3}{4}[/tex]

We can write the above number as below:

[tex]= (3^2)^\frac{3}{4}[/tex]

By the property of powers:

[tex]\rm (x^a)^b= x^a^\times ^b[/tex] , we get:

[tex]3^2^\times^\frac{3}{4} \\\\\\3^\frac{3}{2} \\\\\sqrt{3^3} \\\\\sqrt{3}\times \sqrt{3}\times\sqrt{3}\\\\3\sqrt{3}[/tex]

Thus, the simplest form of the number [tex]9^\frac{3}{4}[/tex]   is  [tex]3 \ \sqrt[]{3}[/tex].

Learn more about the square root of the numbers here:

https://brainly.com/question/1527773

how many are 2 raised to 5 ???​

Answers

Answer:

32

Step-by-step explanation:

2^5

This is 2 multiplied by itself 5 times

2*2*2*2*2

32

15. In a school, the ratio of boys and girls is 4:5, when 100 girls leave the school, the ratio becomes 6:7. How many boys are there in the school​

Answers

Step-by-step explanation:

the ratio of boys and girls is equal to 4:5

let the number of boys be x

and the number of girls be y

so form 1st statement

x:y=4:5

now 2nd statements

x:y-100=6:7

Therefore solving equations 1 and 2

x=1200

y=1500

need answer please
giving out brainiest for ALL MY QUESTIONS!!
correct answers only

Answers

Answer:

True

Step-by-step explanation:

integers like 5 or 4 can be put over one to be a fraction.

For example: 5/1 or 4/1

Answer:true

Step-by-step explanation:

they can

eg 1/1, 7/1

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART PLEASE GOVE EXPLANATION?

Answers

Answer:

0.249

Step-by-step explanation:

tan(theta) = opposite / adjacent (according to the SOH CAH TOA rule), which effectively means y/x in this case.

So -0.242 / -.970 ≈ 0.249

Other explanation:

On a unit circle,

y = sin(θ)

and

x = cos(θ).

And since, tan = sin/cos, tan(θ) = y/x. You y and x are given, so calculating tan is a matter of dividing them.

Which term describes a time period marked by a change that begins a new period of development? century decade era millennium

Answers

Answer:

Era

Step-by-step explanation:

Century, Decade and Millennium have something in common and that which they have in common is that they are all measurement of time.

The keyword measurement implies that they are units of time just like seconds, minutes, hours, etc.

Century -> 100 years

Decade -> 10 years

Millennium -> 1000 years

However, era is used to describe events in history;

Take for instance; the era of the first generation of computer;

So, from the list of given options; Era best answers the question

An era describes a time period marked by a change that begins a new period.

An era :

begins with a significant eventgoes on for a period of time before it is replaced by another era. has distinct events from those of another era

Examples of eras include:

the Roaring Twenties the Progressive era The Cold War era The Age of Enlightenment

All the eras mentioned above were distinct in how people behaved so in conclusion we can say that an era is a time period that begins a new period of development.

Find out more at https://brainly.com/question/20315058.

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